Suggestions:
-As it is, if you find a special with the first level of exploration, you will never find anything with the second level. This needs to be fixed.
Incorrect, I have frequently found things on the second exploration after having found something with the first.
Best example is the kalanite deposits / expert miners connection. I don't remember which comes first, but you get one then the other (and they are
always paired. And I've seen some other (random) occasions when I've gotten two items, but that is rare.
-names for the different levels of cap ship limit research should make more sense. Something like "Elite Naval Technology Training" or "Advanced Ship Systems Engineering".
But they do make a certain degree of sense -- they're focused on training and maintaining
large crews of
extremely focused skills.
-‘Any star to any star’ travel is high on my wish list. It makes more sense, it shortens games, and it opens strategic possibilities up without the dreaded ‘whack-a-mole effect’. I think this is already scheduled for implementation (Yay!)
its in, just not in the patch. (Alas)
-ships traveling between stars reach a point where they suddenly floor it at one end, and then slam on the brakes at the other end. It would make a lot more sense and be less visually disturbing if ships gradually increased speed and then at the halfway point slowly reduced speed between stars.
Eh, personally that system makes a great deal of sense (even if its really annoying).
You can travel one speed
inside a limit related to the star, then can travel another outside it. Thing of it as the reduction in space dust / micrometeorites / space junk from being in interstellar space

-Last Flagship Standing games can’t be played with the present ‘buy your own’ flagship system. So, maybe it would be easier to setup ‘Last Capital Planet Standing’ games, where if you lose your capital, you lose the game. Suicide bombing attacks on Capital Planets would suddenly become a possible game winning strategy.
Known bug thats being fixed. Last capitol standing... bleh, preventing me from changing my capitol isn't going to be fun when I get interstellar!